| 解中立型时滞抛物方程的隐式差分格式 |
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| 引用本文： | 金承日,于战华,曲荣宁. 解中立型时滞抛物方程的隐式差分格式[J]. 山东大学学报(理学版), 2011, 46(8): 13-16 |
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| 作者姓名： | 金承日 于战华 曲荣宁 |
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| 作者单位： | 哈尔滨工业大学(威海)数学系, 山东 威海 264209 |
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| 基金项目： | 哈尔滨工业大学(威海)校研究基金资助项目(HIT(WH)200706) |
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| 摘 要： | 构造了求解中立型时滞抛物方程的一个隐式差分格式,该格式在离散L2范数意义下是无条件稳定的,局部截断误差阶为O(Δt2+Δx2)。该格式在每一个时间层上可以化为三对角线性方程组,用追赶法很容易求解。数值算例表明该差分格式是有效的。
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| 关 键 词： | 中立型时滞抛物方程 隐式差分格式 无条件稳定, |
| 收稿时间： | 2010-04-05 |
An implicit difference scheme for solving the neutral delay parabolic differential equation |
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| JIN Cheng-ri,YU Zhan-hua,QU Rong-ning. An implicit difference scheme for solving the neutral delay parabolic differential equation[J]. Journal of Shandong University, 2011, 46(8): 13-16 |
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| Authors: | JIN Cheng-ri YU Zhan-hua QU Rong-ning |
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| Affiliation: | Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai 264209, Shandong,China |
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| Abstract: | An implicit difference scheme for solving the neutral delay parabolic differential equation is presented. This scheme is unconditional stable in the sense of discrete L2norm. The local truncation error of this scheme is O(Δt2+Δx2). This scheme leads to a tridiagonal linear system to be solved at each time-step. The Crout factorization algorithm is used to solve this linear system. The numerical results show that the presented implicit difference scheme is effective. |
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| Keywords: | neutral delay parabolic differential equation implicit difference scheme unconditional stable |
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